First slide

Relations XII

Question

$The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is$

Moderate

A

Reflexive but not symmetric
B

Reflexive but not transitive
C

Symmetric and transitive
D

Neither symmetric nor transitive

Solution

$The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is$ Reflexive but not symmetric
(1,1), (2,2), (3,3) are belongs to R so that the relation R is Reflexive
$(2, 3) \in R \Rightarrow (3, 2) \in R$ ,. so that the relation R is not symmetric
The relation R is Transitive.

Suitable option is Reflexive but not symmetric

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